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Integral Equations: Theory and Numerical Treatment: 120 (International Series of Numerical Mathematics, 120) - Hardcover
Synopsis
Volterra and Fredholm integral equations form the domain of this book. Special chapters are devoted to Abel's integral equations and the singular integral equation with the Cauchy kernel; others focus on the integral equation method and the boundary element method (BEM). While a small section affords some theoretical grounding in integral equations (covering existence, regularity, etc.), the larger part of the book is devoted to a description and analysis of the discretisation methods (Galerkin/collocation/Nystrom). Also the multigrid method for the solution of discrete equations is analysed. The most prominent application of integral equations occurs in the use of the boundary element method, which here is discussed from the numerical point of view in particular. New results about numerical integration and the panel clustering technique are included. Many chapters have an introductory character, while special subsections give more advanced information. Intended readers are students of mathematics as well as postgraduates.
"synopsis" may belong to another edition of this title.
Synopsis
This volume explores integral equations, devoting special chapters to Abel's integral equations and the singular integral equation with the Cauchy kernel. Other chapters focus on the integral equation method and the boundary element method. While a small section affords some theoretical grounding in integral equations (covering such topics as existence and regularity), the larger part of the book is devoted to a description and analysis of the discretization methods (such as Galerkin, collocation and Nystrom). Also, the multi-grid method for the solution of discrete equations is analyzed. The most prominent application of integral equations occurs in the use of the boundary element method, which is discussed from the numerical point of view in particular. New results about numerical integration and the panel clustering technique are included. Many chapters have an introductory character, while special subsections give more advanced information. The book is intended for students of mathematics, as well as postgraduates.
"About this title" may belong to another edition of this title.
- PublisherBirkhäuser
- Publication date1995
- ISBN 10 3764328711
- ISBN 13 9783764328719
- BindingHardcover
- LanguageEnglish
- Number of pages376
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Integral Equations: Theory and Numerical Treatment
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Condition: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,850grams, ISBN:9783764328719. Seller Inventory # 5953809
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Integral equations. Theory and numerical treatment.
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Hardcover. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-01881 9783764328719 Sprache: Englisch Gewicht in Gramm: 1150. Seller Inventory # 2485766
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Integral Equations : Theory and Numerical Treatment
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Condition: Gut. Zustand: Gut - Gebrauchs- und Lagerspuren. Aus der Auflösung einer renommierten Bibliothek. Kann Stempel beinhalten. | Seiten: 380 | Sprache: Englisch | Produktart: Bücher. Seller Inventory # 359589/203
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Integral Equations : Theory and Numerical Treatment
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Integral Equations: Theory and Numerical Treatment International Series of Numerical Mathematics, 120
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gebundene Ausgabe. Condition: Gut. 359 Seiten Der Erhaltungszustand des hier angebotenen Werks ist trotz seiner Bibliotheksnutzung sehr sauber. Es befindet sich neben dem Rückenschild lediglich ein Bibliotheksstempel im Buch; ordnungsgemäß entwidmet. In ENGLISCHER Sprache. Sprache: Englisch Gewicht in Gramm: 805. Seller Inventory # 2131144
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Integral Equations: Theory and Numerical Treatment (International Series of Numerical Mathematics, 120)
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Integral Equations
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Springer, Basel, Birkhäuser Basel, Birkhäuser Jun 1995, 1995
ISBN 10: 3764328711
ISBN 13: 9783764328719
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The theory of integral equations has been an active research field for many years and is based on analysis, function theory, and functional analysis. On the other hand, integral equations are of practical interest because of the 'boundary integral equation method', which transforms partial differential equations on a domain into integral equations over its boundary. This book grew out of a series of lectures given by the author at the Ruhr-Universitat Bochum and the Christian-Albrecht-Universitat zu Kiel to students of mathematics. The contents of the first six chapters correspond to an intensive lecture course of four hours per week for a semester. Readers of the book require background from analysis and the foundations of numeri cal mathematics. Knowledge of functional analysis is helpful, but to begin with some basic facts about Banach and Hilbert spaces are sufficient. The theoretical part of this book is reduced to a minimum; in Chapters 2, 4, and 5 more importance is attached to the numerical treatment of the integral equations than to their theory. Important parts of functional analysis (e. g. , the Riesz-Schauder theory) are presented without proof. We expect the reader either to be already familiar with functional analysis or to become motivated by the practical examples given here to read a book about this topic. We recall that also from a historical point of view, functional analysis was initially stimulated by the investigation of integral equations. 362 pp. Englisch. Seller Inventory # 9783764328719
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Integral Equations : Theory and Numerical Treatment
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The theory of integral equations has been an active research field for many years and is based on analysis, function theory, and functional analysis. On the other hand, integral equations are of practical interest because of the 'boundary integral equation method', which transforms partial differential equations on a domain into integral equations over its boundary. This book grew out of a series of lectures given by the author at the Ruhr-Universitat Bochum and the Christian-Albrecht-Universitat zu Kiel to students of mathematics. The contents of the first six chapters correspond to an intensive lecture course of four hours per week for a semester. Readers of the book require background from analysis and the foundations of numeri cal mathematics. Knowledge of functional analysis is helpful, but to begin with some basic facts about Banach and Hilbert spaces are sufficient. The theoretical part of this book is reduced to a minimum; in Chapters 2, 4, and 5 more importance is attached to the numerical treatment of the integral equations than to their theory. Important parts of functional analysis (e. g. , the Riesz-Schauder theory) are presented without proof. We expect the reader either to be already familiar with functional analysis or to become motivated by the practical examples given here to read a book about this topic. We recall that also from a historical point of view, functional analysis was initially stimulated by the investigation of integral equations. Seller Inventory # 9783764328719
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Integral Equations: Theory and Numerical Treatment (International Series of Numerical Mathematics, 120)
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Integral Equations
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